Applications Of Lie Groups To Differential Equations

Paperback | January 21, 2000

byPeter J. Olver

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A solid introduction to applications of Lie groups to differential equations which have proved to be useful in practice. The computational methods are presented such that graduates and researchers can readily learn to use them. Following an exposition of the applications, the book develops the underlying theory, with many of the topics presented in a novel way, emphasising explicit examples and computations. Further examples, as well as new theoretical developments, appear in the exercises at the end of each chapter.

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A solid introduction to applications of Lie groups to differential equations which have proved to be useful in practice. The computational methods are presented such that graduates and researchers can readily learn to use them. Following an exposition of the applications, the book develops the underlying theory, with many of the topics...

Format:PaperbackDimensions:541 pages, 9.25 × 6.1 × 0 inPublished:January 21, 2000Language:English

The following ISBNs are associated with this title:

ISBN - 10:0387950001

ISBN - 13:9780387950006

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Table of Contents

Introduction to Lie Groups.- Symmetry Groups of Differential Equations.- Group-Invariant Solutions.- Symmetry Groups and Conservation Laws.- Generalized Symmetries.- Finite Dimensional Hamiltonian Systems.- Hamiltonian Methods for Evolution Equations.